Solve x^2-22x-40=0

Evaluate

x^{2} - 22 x - 40 = 0

Substitute a= 1,b= - 22 and c= - 40 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{22 \pm ( - 22 ) ^{2} - 4 ( - 40 )}{2}

Simplify the expression

More Steps

x = \frac{22 \pm 644}{2}

Simplify the radical expression

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x = \frac{22 \pm 2 161}{2}

Separate the equation into 2 possible cases

x = \frac{22 + 2 161}{2} x = \frac{22 - 2 161}{2}

Simplify the expression

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x = 11 + 161 x = \frac{22 - 2 161}{2}

Simplify the expression

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x = 11 + 161 x = 11 - 161

Solution

x_{1} = 11 - 161, x_{2} = 11 + 161

Alternative Form

x_{1} \approx - 1.688578, x_{2} \approx 23.688578

Solve the quadratic equation